Search a number
-
+
46617217240 = 23511105948221
BaseRepresentation
bin101011011010100110…
…100100100011011000
311110022211112000001111
4223122212210203120
51230433001422430
633225440430104
73240134544226
oct533246444330
9143284460044
1046617217240
1118852227320
129050018334
13451bc94819
142383365b16
15132c8ddc2a
hexada9a48d8

46617217240 has 32 divisors (see below), whose sum is σ = 114424079760. Its totient is φ = 16951715200.

The previous prime is 46617217201. The next prime is 46617217247. The reversal of 46617217240 is 4271271664.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 46617217193 and 46617217202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46617217247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52973671 + ... + 52974550.

Almost surely, 246617217240 is an apocalyptic number.

46617217240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46617217240 is an abundant number, since it is smaller than the sum of its proper divisors (67806862520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46617217240 is a wasteful number, since it uses less digits than its factorization.

46617217240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105948243 (or 105948239 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 46617217240 in words is "forty-six billion, six hundred seventeen million, two hundred seventeen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 105948221 211896442 423792884 529741105 847585768 1059482210 1165430431 2118964420 2330860862 4237928840 4661721724 5827152155 9323443448 11654304310 23308608620 46617217240